Extensions 1→N→G→Q→1 with N=C₂×C₇⋊C₃ and Q=C₂

Direct product G=N×Q with N=C₂×C₇⋊C₃ and Q=C₂

		d	ρ	Label	ID
C₂²×C₇⋊C₃		28		C2^2xC7:C3	84,9

Semidirect products G=N:Q with N=C₂×C₇⋊C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₇⋊C₃)⋊C₂ = C₂×F₇	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₇⋊C₃	14	6+	(C2xC7:C3):C2	84,7

Non-split extensions G=N.Q with N=C₂×C₇⋊C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₇⋊C₃).C₂ = C₇⋊C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₇⋊C₃	28	6-	(C2xC7:C3).C2	84,1
(C₂×C₇⋊C₃).₂C₂ = C₄×C₇⋊C₃	φ: trivial image	28	3	(C2xC7:C3).2C2	84,2

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C2×C7⋊C3 and Q=C2